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Finding the Third Proportional to 18,872 and 25,538

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Solution

The third proportional to 18,872 and 25,538 is: 34,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,872 : 25,538 = 25,538 : x
  2. Step 2: Convert to fraction form
    18,872/25,538 = 25,538/x
  3. Step 3: Cross multiply
    18,872x = 25,538 × 25,538
  4. Step 4: Simplify right side
    18,872x = 652,189,444
  5. Step 5: Solve for x
    x = 652,189,444/18,872
  6. Step 6: Final answer
    x = 34,558.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.